2 Answers
2

The Macquarie dictionary defines ‘while away’ as to cause time to pass, especially in some easy or pleasant manner, so ‘while away’ is correct in this context. ‘Wile’ means to beguile, lure or entice, so to ‘wile away’ could mean something entirely different, but the actual answer is that both are correct. See these examples: while away, to cause (time) to pass, especially in some easy or pleasant manner (usually followed by away); wile away, to spend or pass (time), especially in a leisurely or pleasurable fashion.

The expression “while away the time” is the only surviving context for a very old use of “while” as a verb meaning “to spend time.” Many people substitute “wile,” but to wile people is to lure or trick them into doing something—quite different from simply idling away the time. Even though dictionaries accept “wile away” as an alternative, it makes more sense to stick with the original expression.

I'd say, you will be better off sticking to original while away the hours since it IS correct and can't be misinterpreted.

As a publisher/editor of poetry - the double entendre of "wile" is tempting.
One may "wile away time" in a fashion whereby one "tricks" time to pass quickly, or, to make time pass slowly - like to draw out a moment of lovemaking to feel like an hour of pleasure.

It is the artful and unfettered use of words and language that, in my opinion - gives the poet the freedom to explore variations on a theme. While you were reading this I was wiling away time.